{"id":"vidhyamitra:city-day:mathura:1972-08-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1972-08-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1972-08-29","date_display":"August 29, 1972 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1972,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441558.770833,"kali_year":5074,"ahargana":1853093.2708,"sun":{"sidereal_longitude":131.7124,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":6.7771,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.0647,"elapsed_within_tithi_degrees":7.0647},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":6.7771,"elapsed_within_degrees":6.7771},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.4895},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1972,"month":8,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2441558.770833,"ahargana":1853093.2708,"kali_year":5074,"ayanamsa_lahiri":23.4711,"grahas":{"sun":{"sidereal_longitude":132.323258,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":9.072058000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":4.4954},"mars":{"sidereal_longitude":135.82525799999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":115.03215799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":245.61115800000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":86.82245799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":56.35445800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":274.2008,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":94.2008,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1972,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441558.770833,"kali_year":5074,"ahargana":1853093.2708,"sun":{"sidereal_longitude":131.7124,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":6.7771,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.0647,"elapsed_within_tithi_degrees":7.0647},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":6.7771,"elapsed_within_degrees":6.7771},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.4895},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.495,"elongation":124.935},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.495,"opposition_distance":55.065}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":-1.305,"elongation":0.428}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:56","sunsetLocal":"18:43","solarNoonLocal":"12:20","dayLengthHours":12.785394110586756,"dayLengthDisplay":"12 Hours 47 Mins 07 Secs","nightLengthDisplay":"11 Hours 12 Mins 53 Secs","moonriseLocal":"21:38","moonsetLocal":"10:36","rahuKala":{"name":"Rāhu Kāla","start":"15:32","end":"17:07","startHours":15.52640189537229,"endHours":17.124576159195634,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:08","end":"10:44","startHours":9.133704840078913,"endHours":10.731879103902257,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:20","end":"13:56","startHours":12.3300533677256,"endHours":13.928227631548946,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.9206149382358,"endHours":9.346794741922025,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:49","startHours":6.470081067040005,"endHours":6.811024909988985,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.903873564039376,"endHours":12.756233171411825,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:05","startHours":4.232637097687323,"endHours":5.084996705059773,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:56","startHours":4.87190680321666,"endHours":5.9373563124322235,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.460952386156729,"endHours":15.31331199352918,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.52275042301898,"endHours":18.92275042301898,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:15","startHours":18.72275042301898,"endHours":19.25547517762676,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.47275042301898,"endHours":20.22275042301898,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.903873564039376,"endHours":24.756233171411825,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:56","end":"07:32","startHours":5.9373563124322235,"endHours":7.535530576255568,"quality":"inauspicious"},{"name":"Udveg","start":"07:32","end":"09:08","startHours":7.535530576255568,"endHours":9.133704840078913,"quality":"inauspicious"},{"name":"Chala","start":"09:08","end":"10:44","startHours":9.133704840078913,"endHours":10.731879103902257,"quality":"neutral"},{"name":"Labha","start":"10:44","end":"12:20","startHours":10.731879103902257,"endHours":12.3300533677256,"quality":"auspicious"},{"name":"Amṛta","start":"12:20","end":"13:56","startHours":12.3300533677256,"endHours":13.928227631548946,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:32","startHours":13.928227631548946,"endHours":15.52640189537229,"quality":"inauspicious"},{"name":"Śubha","start":"15:32","end":"17:07","startHours":15.52640189537229,"endHours":17.124576159195634,"quality":"auspicious"},{"name":"Roga","start":"17:07","end":"18:43","startHours":17.124576159195634,"endHours":18.72275042301898,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:43","end":"20:07","startHours":18.72275042301898,"endHours":20.124576159195634,"quality":"inauspicious"},{"name":"Śubha","start":"20:07","end":"21:32","startHours":20.124576159195634,"endHours":21.52640189537229,"quality":"auspicious"},{"name":"Roga","start":"21:32","end":"22:56","startHours":21.52640189537229,"endHours":22.928227631548946,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:20","startHours":22.928227631548946,"endHours":24.3300533677256,"quality":"inauspicious"},{"name":"Chala","start":"00:20","end":"01:44","startHours":24.3300533677256,"endHours":25.73187910390226,"quality":"neutral"},{"name":"Labha","start":"01:44","end":"03:08","startHours":25.73187910390226,"endHours":27.133704840078913,"quality":"auspicious"},{"name":"Amṛta","start":"03:08","end":"04:32","startHours":27.133704840078913,"endHours":28.535530576255567,"quality":"auspicious"},{"name":"Kāla","start":"04:32","end":"05:56","startHours":28.535530576255567,"endHours":29.93735631243222,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:56","end":"06:56","startHours":5.9373563124322235,"endHours":6.9373563124322235,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:56","end":"07:56","startHours":6.9373563124322235,"endHours":7.9373563124322235,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:56","end":"08:56","startHours":7.9373563124322235,"endHours":8.937356312432224,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:56","end":"09:56","startHours":8.937356312432224,"endHours":9.937356312432224,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:56","end":"10:56","startHours":9.937356312432224,"endHours":10.937356312432224,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:56","end":"11:56","startHours":10.937356312432224,"endHours":11.937356312432224,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:56","end":"12:56","startHours":11.937356312432224,"endHours":12.937356312432224,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:56","end":"13:56","startHours":12.937356312432224,"endHours":13.937356312432224,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:56","end":"14:56","startHours":13.937356312432224,"endHours":14.937356312432224,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:56","end":"15:56","startHours":14.937356312432224,"endHours":15.937356312432224,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:56","end":"16:56","startHours":15.937356312432224,"endHours":16.93735631243222,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:56","end":"17:56","startHours":16.93735631243222,"endHours":17.93735631243222,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:56","end":"18:56","startHours":17.93735631243222,"endHours":18.93735631243222,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:56","end":"19:56","startHours":18.93735631243222,"endHours":19.93735631243222,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:56","end":"20:56","startHours":19.93735631243222,"endHours":20.93735631243222,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:56","end":"21:56","startHours":20.93735631243222,"endHours":21.93735631243222,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:56","end":"22:56","startHours":21.93735631243222,"endHours":22.93735631243222,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:56","end":"23:56","startHours":22.93735631243222,"endHours":23.93735631243222,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:56","end":"00:56","startHours":23.93735631243222,"endHours":24.93735631243222,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:56","end":"01:56","startHours":24.93735631243222,"endHours":25.93735631243222,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:56","end":"02:56","startHours":25.93735631243222,"endHours":26.93735631243222,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:56","end":"03:56","startHours":26.93735631243222,"endHours":27.93735631243222,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:56","end":"04:56","startHours":27.93735631243222,"endHours":28.93735631243222,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:56","end":"05:56","startHours":28.93735631243222,"endHours":29.93735631243222,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":9.385449901209192,"eotMinutes":-0.49800206353601495,"ayanamsa":23.4711}},"calendars":{"vikram_samvat":2029,"vikram_samvatsara":"Krodhana","saka_samvat":1894,"saka_samvatsara":"Paridhāvi","bengali_samvat":1379,"malayalam_era":1148,"nanakshahi_year":503,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Pañcamī · Vikram 2029 Krodhana · Śaka 1894 Paridhāvi"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 29, 1972 CE · Mathurā · Vidhyamitra","description":"August 29, 1972 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 05:56, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1972-08-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1972-08-29","sa":"https://sa.vidhyamitra.com/city/mathura/1972-08-29","hi":"https://hi.vidhyamitra.com/city/mathura/1972-08-29","x-default":"https://vidhyamitra.com/city/mathura/1972-08-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:08:52.614Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T12:08:52.614Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:08:52.614Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}